Some possible insight from this page
After enjoying the Addams Family TV show as a young child, and then being my father’s old copies of the Drawn and Quartered and Black Maria collections bestowed upon me, I have to say that I’m sorry that the wide-eyed freak who was always staring down on the goings on from an upper floor was not included in the show.
Well, I was looking at this gallery trying to decide what he looks like.
Still no luck. Gomez does have kind of a Peter Lorre appearance to him. I also checked against Renfield (from the 1930s Dracula) and no dice.
Going with my original idea that he was patterned after an Igor, I looked that up too, only to find there wasn’t one in the 1931 Frankenstein: his name was Fritz. And he was the same actor who played Renfield, so still no dice.
That’d make a good general question: why do we always think of Igor as Frankenstein’s assistant, if there wasn’t one in the classic movie?
I think Gomez was just a lunatic.
I read somewhere that Gomez’ TV persona was influenced by Groucho Marx (and Fester’s by Curly of the 3 Stooges).
In other words, he’s feeling muucchhh better, now. 
In the second sequel, Son of Frankenstein, no less a personage than Bela Lugosi played Ygor. I haven’t seen that one, but I imagine it was a memorable performance. Can’t recall if there was an Igor in the original novels…
Ygor was also in GHOST OF FRANKENSTEIN, the fourth movie, the first which did not have Karloff as the Monster. I think Lon Chaney Jr was (if not, it was Glenn Strange). Sir Cedric Hardwicke played Dr. F.- either another son or the grandson of “Henry” F. To avoid spoiling the movie, let’s just say Ygor did not survive for another film, tho part of him did but never made its presence known in the series again. Interestingly, the next film F. MEETS THE WOLFMAN had Lugosi finally playing the Monster & fighting Lon C Jr. The scientist is some guy who has hooked up with Henry F’s never-before-seen daughter.
I am such a geek.
The name “Pubert” was rejected as it was too close to “pubic”, and I think may actually have been a term for a pubic hair (“Oh, he’s getting puberts!”)
I always thought he was just some kind of twisted, rich sadist. Maybe European nobility. Your basic Vincent Price type.
He’s an Addams.
Case closed.
Morticia is a witch not a vampire
Yes, but the Munsters had a better car.
It looks like Chas Addams did want him to be a “latin lover” type. The big latin lover that I can think of, in literature, who people might be afraid of is probably Don Juan. Traditionally, it was a story meant to be told as a sort of “horror story”, though I think it became popular because people like listening to licentious things. Potentially, it was always meant as a licentious story, just paraded as a scary story to please the church.
Standards & Practices vetoed Pubert for obvious reasons.
The Addams are very old money (& unlike most old money families they still have a lot of it). They’re also very civic minded (in their own way) and give to charity which is why everyone puts up with them. Gomez trained as a lawyer, but seldom practiced as one.
No, but there was an Henri, more of a colleague than an assistant. In the first movie, there was a Fritz.
Was Lurch a blood relative?
This thread, however, is definitely a zombie.
Tell me about it. I started to quote my own post, upthread, to agree with it and then I noticed the user-name. 
Morticia is not a witch. Mama, arguably, is a witch with her cauldron and all. The Addamses do not really fill stereotypical horror roles in the same way the Munsters did. This is not to say the writing for The Addams Family was any smarter than it was for The Munsters.
Didn’t Morticia have “octopus legs” or something?
That was her skirt. In the animated versions of the character, that is played up a bit. It was not really a factor on the live action show.